This document describes two papers that were presented at the International Conference on Systems, Science, Control, Communication, Engineering and Technology in 2017. The first paper proposes a new audio watermarking technique that embeds watermarks into the extrema of intrinsic mode functions of an audio signal. This embedding is robust against various attacks while maintaining audio quality. The second paper discusses applications of differential equations to engineering problems. It presents techniques for using differential equations to model engineering systems and solve practical problems.